138514300 has 72 divisors (see below), whose sum is σ = 323885520. Its totient is φ = 51225600.

The previous prime is 138514279. The next prime is 138514307. The reversal of 138514300 is 3415831.

It is a super-2 number, since 2×138514300² = 38372422608980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138514307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99610 + ... + 100990.

It is an arithmetic number, because the mean of its divisors is an integer number (4498410).

Almost surely, 2^138514300 is an apocalyptic number.

138514300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161942760).

138514300 is an abundant number, since it is smaller than the sum of its proper divisors (185371220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138514300 is a wasteful number, since it uses less digits than its factorization.

138514300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 138514300 is about 11769.2098290412. The cubic root of 138514300 is about 517.4060912314.

The spelling of 138514300 in words is "one hundred thirty-eight million, five hundred fourteen thousand, three hundred".